The longest side of a right triangle is 39 m in length. One of the other sides is 21 m longer than the shortest side. Find the lengths of the two shorter sides of the triangle.
Question 15, 5.5.61 >

The equation represents a condition for optimal resource extraction, where equality indicates profit maximization, while inequality suggests suboptimal decisions requiring adjustments.

In the equation, p0 represents the current price of the resource, (∂y0/∂c(x0, y0)) represents the current marginal revenue from extraction, p1 represents the future price, (∂y1/∂c(x1, y1)) represents the future marginal revenue from extraction, and (∂x1/∂c(x1, y1)) represents the change in extraction.

When the equation holds, it suggests that the firm's current marginal revenue is equal to the discounted sum of the future marginal revenues. This implies that the firm is optimizing its extraction decision by considering both current and future profitability. By extracting the resource at the equilibrium level, the firm maximizes its long-term economic benefits.

However, if the equality does not hold, it indicates a deviation from the optimal extraction decision. The firm may be extracting too much or too little relative to the discounted future marginal revenues. In such cases, the firm can adjust its extraction strategy to align with the condition and improve its profitability.

In summary, the equation serves as a criterion for the firm's optimization in resource extraction. It ensures that the firm considers the interplay between current and future revenues, guiding it towards an extraction decision that maximizes its economic gains. Deviations from the equality suggest the need for adjustments to achieve an optimal extraction strategy.

Learn more about profitability here:

https://brainly.com/question/29987711

#SPJ11

Answer:

Not really,maybe he just went in to find something,just that he didn't that's why maybe he didn't steal anything

Step-by-step explanation:

Answer:

Not necessarily. The robbers might've seen something or someone in your house and ran. They also could've heard something and thought you were home. So, if a robber breaks into your house but runs almost immediately you migt want to get your house checked out. Or, the robbers did think you were poor. Sorry.

Step-by-step explanation:

If chuck earns additional 40,000 of taxable income, 23.52% the marginal tax rate on this income

Chuck, a single taxpayer, earns $76,000 in taxable income and $1 in interest from an investment in city of heflin bonds.

Tax on $76,000

4,617.5 + (76,000 - 40,125) * 22% = 12,510.0

Taxable income 76,000 + 40,000 = 116,000

Tax on $116,000  

14,605.5 + (116,000 - 85,525) * 24% = 21,919.5

Marginal tax rate

(21,919.5 - 12,510) / 40,000 = 23.52%

Learn more about marginal tax here:

https://brainly.com/question/33819164

#SPJ4

The table should be completed with the correct key features as follows;

Axis of symmetry (1st graph): x = 1.

Vertex (1st graph): (1, -9).

Minimum (1st graph): -9.

y-intercept (1st graph): (0, -8).

Axis of symmetry (2nd graph): x = 2.

Vertex (2nd graph): (2, 16).

Maximum (2nd graph): 16.

y-intercept (2nd graph): (0, 12).

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first graph of a quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0).

Based on the second graph of a quadratic function, we can logically deduce that the graph is a downward parabola because the coefficient of x² is negative and the value of "a" is less than zero (0).

Read more on quadratic functions here: brainly.com/question/24020644

#SPJ1

The probability that a standard normal random variable z is between -2.4 and 0.4 is approximately 0.6472.

To find the probability that a standard normal random variable z is between -2.4 and 0.4, we can follow these steps:

Step 1: Look up the cumulative probability corresponding to -2.4 in the standard normal distribution table. The cumulative probability at -2.4 is approximately 0.0082.

Step 2: Look up the cumulative probability corresponding to 0.4 in the standard normal distribution table. The cumulative probability at 0.4 is approximately 0.6554.

Step 3: Subtract the cumulative probability at -2.4 from the cumulative probability at 0.4 to find the probability between the two values:

P(-2.4 < z < 0.4) = 0.6554 - 0.0082

= 0.6472.

Therefore, The probability that z is between -2.4 and 0.4, when z is a standard normal random variable, is approximately 0.6472. This means that there is a 64.72% chance that a randomly selected value from a standard normal distribution falls within the range of -2.4 to 0.4.

To know more about probability, visit:

https://brainly.com/question/32782543

#SPJ11

The function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily

The function is given as:

f(x) = 86(1.08)^x

There are 7 days in a week.

This means that:

1 day = 1/7 week

So, x days is

x day = x/7 week

Substitute x/7 for x in

f(x) = 86(1.08)^(x/7)

Rewrite as:

f(x) = 86(1.08^1/7)^x

Evaluate

f(x) = 86(1.01)^x

In the above, we have:

r = 1.01 - 1

Evaluate

r = 0.01

Express as percentage

r = 1%

Hence, the function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily

Read more about exponential functions at:

https://brainly.com/question/11487261

#SPJ1

Answer: the answer is d

Step-by-step explanation:

Answer:

A: -8-4

Step-by-step explanation:

Answer:

I think it is (-8,-4).

Step-by-step explanation:

I hope this helps.

The amount of concrete required to make 80 pots is 0.24192 cubic meters after adding 5% of the required concrete.

Given that:External dimensions of the prism, a = 18 cmHeight of the prism, h = 16 cm Thickness of the walls, t = 3 cmNumber of pots, n = 80Wastage is 5% of the required concreteLet the side of the inner square be 'a1'. Then,a = a1 + 2t⇒ a1 = a - 2t = 18 - 2×3 = 12 cmVolume of the pot = volume of the outer prism - volume of the inner prismVolume of the outer prismVolume of the outer prism = a²hVolume of the outer prism = 18²×16 = 5184 cm³Volume of the inner prismVolume of the inner prism = a1²hVolume of the inner prism = 12²×16 = 2304 cm³Volume of the potVolume of the pot = 5184 - 2304 = 2880 cm³In m³, Volume of the pot = 2880/1000000 m³Volume of 80 such potsVolume of 80 pots = 80 × 2880/1000000 m³= 0.2304 m³Concrete required for the potsConcrete required = volume of 80 pots × (100 + 5)/100Concrete required = 0.2304 × 105/100 m³Concrete required = 0.24192 m³

for more such question on cubic meters

https://brainly.com/question/30106291

#SPJ8

Answer:

80.4

Step-by-step explanation:

tan15=x/300

300tan(15)=80.38

Answer:

It becomes 9/10, because the number would be 506,002.9

Step-by-step explanation:

The total cost for the items which the Tiny family purchased is $41.6 × 10⁻⁶ while their change is equal to $45.84 × 10⁻⁵.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to determine the total cost, we would add all of the costs incurred by Tiny family as follows:

Total cost = 1.3 × 10⁻⁵ + 2.1 × 10⁻⁵ + 7.6 × 10⁻⁶

Total cost = (1.3 + 2.1) × 10⁻⁵ + 7.6 × 10⁻⁶

Total cost = 3.4 × 10⁻⁵ + 7.6 × 10⁻⁶

Total cost = $41.6 × 10⁻⁶

Next, we would calculate the change as follows:

Change = Amount paid - Total cost

Change = $5.0 x 10⁻⁴ - $41.6 × 10⁻⁶

Change = $45.84 × 10⁻⁵

Read more on expression and total cost here: brainly.com/question/26133568

#SPJ1

Answer:

Multiply

Step-by-step explanation:

You need to multiply the number by 10 or 100 or 1000 according to the number. but after multiplying it should become a whole digit. And you also need to multiply 10 or 100 or 1000 in the dividend.

Hope this has helped you.

Here the common ratio is -5

next terms will be 375 and -1875

Answer:

the solution is x<4 (color green)

Step-by-step explanation:

hello :

draw the graph for the line : y= x-13 ( color bleu)

draw the graph for the line : y= -4x+7 ( color red)

the solution is x<4 (color green)

Answer:

i think 42

Step-by-step explanation:

Answer:

B -(1,4)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

there are six triangles and two rectangles

Answer:

D. For every 6 triangles there are 2 rectangles.

Answer:

All that you have to do is plot -11.

Step-by-step explanation:

cause'

A loan fee is an amount a consumer pays for a loan. This includes taking out a car loan, credit card, or mortgage. Common loan fees include interest rates, origination fees, service fees, late fees, etc. Gross Loan Fees are typically associated with your credit card and consist of any outstanding balance plus any other fees incurred if you carry overdue amounts to your credit card.

If you know three numbers related to your credit card account: credit card (or loan) balance, APR, and billing cycle length, you can calculate your loan fees.

Current Balanced Owned =$785

APR = 24.42%

Let’s suppose the billing cycle is 30 days, then

Finance charge = $15.76

The new balance you owe = $800.76.

More problems related to Interest Rate and Finance, are in the link below:

https://brainly.com/question/19568969?referrer=searchResults

#SPJ4

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

Learn more about events and conditional probability here

https://brainly.com/question/17028709

#SPJ4

Answer:

To find 1/4% of 5/5%, you need to first convert both percentages to decimals.

1/4% is equal to 0.25% or 0.0025 as a decimal.

5/5% is equal to 1 or 1.00 as a decimal.

So, to find 1/4% of 5/5%, you can multiply 0.0025 and 1.00:

0.0025 * 1.00 = 0.0025

Therefore, 1/4% of 5/5% is 0.0025 or 0.25%.

Maybe one reason people who work in the pentagon never seem to agree on anything is that there are five sides to every story

To obtain the optimal production schedule for Apple's calculators, a transportation model using VAM-MODI method is proposed. Labor, material, backorder, and inventory costs are considered. The problem is solved till to get minimize costs and meet demand.

To solve the transportation problem and obtain the optimal production schedule using the VAM-MODI method, we need to set up the problem in a transportation matrix format. Given the production and cost data, we can create the following transportation matrix:

                 Destination

          | Period 1 | Period 2 | Period 3 | Supply

---------------------------------------------------

Source|           |           |           |        

           |  1,100    |   600     |  1,000    |  40

           |           |           |           |        

           |  -100  |           |           |  

           |           |           |           |        

---------------------------------------------------

Demand |  1,100    |   600     |  1,000    |  0

      |           |           |           |

In this matrix, the rows represent the production periods, and the columns represent the demand. The numbers in the cells represent the number of units to be transported from a production period to meet the demand in each period.

To solve the problem using the VAM-MODI method, follow these steps:

Initial VAM (Vogel's Approximation Method) North-West Corner Solution. Start with the top-left cell (period 1, demand 1) and allocate the maximum possible units (40) to it. Update the supply and demand accordingly.

Move to the next row/column with the unfulfilled demand/supply and repeat the process until all demand/supply is satisfied.

Compute the penalties for each unallocated cell using the MODI (Modified Distribution) method. Identify the unallocated cells and calculate the penalties by finding the difference between the two lowest transportation costs for each unallocated cell.

Select the cell with the highest penalty and perform the loop calculations. Start with the selected cell and follow the loop path by alternating between allocated and unallocated cells until you return to the starting cell.

Adjust the units in the allocated cells based on the loop calculations. Repeat this process until all penalties become non-negative.

Repeat Steps 2 and 3 until all penalties are non-negative and the solution is optimal. By following these steps, you can obtain the optimal production schedule and allocation of units to meet the demand while minimizing costs.

To know more about transport model:

https://brainly.com/question/6548000

#SPJ4

Answer:

i. 4 two-point shots

ii. 10 free throws

Step-by-step explanation:

Number of times scored = 14

total points made = 18

let her two-point shot be represented by x, and her free throw by y.

So that;

x + y = 14 .......... 1

But, two points for each two-point shot and one point for each free throw;

2x + y = 18 ......... 2

Subtract equation 2 from 1

2x - x + y - y = 18 - 14

x = 4

substitute the value of x in equation 1

4 + y = 14

y = 14 - 4

y = 10

x= 4, y = 10

Thus, she made 4 two-point shots, and 10 free throws.

Answer:

4 two-pointers and 10 free throws

Step-by-step explanation:

18 - 14 = 4

4 two-pointers = 8

10 free throws = 10 points

Answer:

1. We need CB = GH

2. We need AC = XZ

Step-by-step explanation:

Here, we want to know the additional information needed to have the triangles equal by the given congruency principle

1) ASA

this mean angle-side-angle

We already have two angles marked equal, we need one side of each being made equal

So for example if we had CB = GH, then the congruency principle will work

2) SSS means that the three sides are equal in value

We already have two equal sides

We need the third side

The third side we need equal here is AC and XZ

Step-by-step explanation:

the graph should start on (-3) on the y-axis from there go up 2 and over one and that should be your next point on the graph.

you didn't show the graphs but to figure out if the color goes on the top or bottom... do

point (0,0)

plug into equation y<2x-3

(0)<2(0)-3

0<-3 (false)

wouldn't include the point (0,0)

hope this helps

mhorn seems to be correct

Step-by-step explanation:

yshahaa

In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .

To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.

To know more about hypothesis visit :

https://brainly.com/question/29576929

#SPJ11

Answer:

the inequality is y>2x+1

I figured this out because watching the video showed me how to find the slope I first found my y-axis point then went down, knowing the symbol would be < I kept that in mind when I went to look for my x-axis after that put the two points into slope-intercept formula.

Leon had to buy fences, 1 yard fences would be 2$. He had to buy more yards of fences than the total he was looking for. the y-axis would be how much he spent and the x-axis would be the yards for the fences.

Step-by-step explanation:

Answer:

the slope is 3/2